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g(x) = x/2
Yes.
f(x)=2x+2. Put in 0, 1/2, 1, 3/2, 2... and you will get integer values. That is for the domain. The numbers you get when you put that in are the range integral values.
It is [(2a+2h+5) - (2a+5)]/h = 2h/h = 2